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Escaping Local Optima with Non-Elitist Evolutionary Algorithms

AAAI 2021 · Learning theory and algorithms › Combinatorial and search optimization · approach: Decision-focused optimization · 35 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use non-elitist 3-tournament selection with mutation rate close to but below the error thresholdpopulation-based EA · FUNNELexpected runtime: O(nλ log(λ)+n2 log(n))Helped
replace elitism with non-elitist 3-tournament selectionpopulation-based EA · FUNNELruntime: Pr(T ≤ ecnd) ≤ e−Ω(nd)Helped
use tournament selection instead of elitist selectionSet Cover EA · CYC.7average cover sizeHelped
set the mutation rate close to but below the error threshold3-tournament EA · Set Cover, CYC.7average cover size: χ = 1.08Helped
replace 3-tournament selection with (µ, λ)-selection (ablation)non-elitist EA · FUNNELruntime: Pr (T ≤ ecn) ≤ e−Ω(n)Hurt
use mutation rate χ ≤ ln(ξ(1 − δ)) (ablation)3-tournament EA · FUNNELruntime: Pr (T ≤ ecn) ≤ e−Ω(λ)Hurt
deviate too much from the error-threshold mutation rate (ablation)non-elitist EA · FUNNELruntime: Pr (T ≤ ecn) ≤ e−Ω(n)Hurt
use a mutation rate slightly below the error thresholdtournament EAs · Set Cover, Stein.81success frequencyMixed

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